The 450-400, 3" is a nice little DG cartridge. Loaded up a bit with a good bullet, like you have done, brings the best out in it.
Definitely a lion and brown bear cartridge, although I have never hunted either.
I am a cape buffalo hunter and consider the cartridge in factory loading to be a bit over rated for cape buffalo, mostly because of that Hornady bullet.
A .410 cal. bullet has much superior terminal performance to a .30 cal bullet on a big tough animal, all other factors being equal. ( No offence to the good old 300 WM.)
You can really get "high performance" out of your Ruger No.1, 450-400 NE with your 300 grain bullet. As with most strong single shots you can extend the throat and seat your good monolithic bullet out a ways, increasing the room for more powder. ( Higher velocity with out increasing the pressure, usually.) I am guessing that you can reach 2,600 fps with your 300 grain bullet, but that is just speculation from me, and I don't think that you "need" that increased power for North America.
For comparison, the .375HH, 300 grains 2,500 fps MV.
The .45-70 loaded warm will push the 300 grain bullet at 2,500 fps. And that is a .458 cal bullet!
If I had your rifle and cartridge, I might just extend the throat for personal satisfaction and load either NorthFork or CEB bullets. ( They have very impressive terminal ballistics.)
Regardless You are "good to go" on Alaskan brow bears with what you have.
Also, it is proven that one can learn to reload a single shot quickly. I usually use a single shot for cape buffalo in 500 or .577NE. I like single shots for cape buffalo which is for me, close range work.
ou know that a single shot is usually a few inches shoter that a bolt action with the sam barrel length.
My .50-110 TC Encore is only 40 inches oal. same as a 30-30 saddle gun, I believe.
Good hunting, Brian